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EnglishThe existence of a gapped chiral spin liquid has been recently suggested in the vicinity of the metal-insulator transition of the Hubbard model on the triangular lattice, by intensive density-matrix renormalization group (DMRG) simulations [A. Szasz, J. Motruk, M. P. Zaletel, and J. E. Moore, Phys. Rev. X 10, 021042 (2020)10.1103/PhysRevX.10.021042]. Here, we report the results obtained within the variational Monte Carlo technique based upon Jastrow-Slater wave functions, implemented with backflow correlations. As in DMRG calculations, we consider N-leg cylinders. For N=4 and in the presence of a next-nearest-neighbor hopping, a chiral spin liquid emerges between the metal and the insulator with magnetic quasi-long-range order. Within our approach, the chiral state is gapped and breaks the reflection symmetry. By contrast, for both N=5 and 6, the chiral spin liquid is not the state with the lowest variational energy: in the former case, a nematic spin liquid is found in the entire insulating regime, while for the less frustrated case with N=6 the results are very similar to that obtained on two-dimensional clusters [L. F. Tocchio, A. Montorsi, and F. Becca, Phys. Rev. B 102, 115150 (2020)2469-995010.1103/PhysRevB.102.115150], with an antiferromagnetic phase close to the metal-insulator transition and a nematic spin liquid in the strong-coupling regime.
Hubbard model on triangular N -leg cylinders: Chiral and nonchiral spin liquids / Tocchio, L. F.; Montorsi, A.; Becca, F.. - In: PHYSICAL REVIEW RESEARCH. - ISSN 2643-1564. - ELETTRONICO. - 3:4(2021), pp. 043082-1-043082-9. [10.1103/PhysRevResearch.3.043082]
| Titolo: | Hubbard model on triangular N -leg cylinders: Chiral and nonchiral spin liquids | |
| Autori: | ||
| Data di pubblicazione: | 2021 | |
| Rivista: | ||
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1103/PhysRevResearch.3.043082 | |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| PhysRevResearch.3.043082.pdf | Articolo principale | 2a Post-print versione editoriale / Version of Record |  | Visibile a tuttiVisualizza/Apri |
http://hdl.handle.net/11583/2940112
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